Study of frequency shift and thermoelastic damping in transversely isotropic nano-beam with GN III theory and two temperature

被引：25

作者：

Kaur, Iqbal ^{[1
]}

Lata, Parveen ^{[1
]}

Singh, Kulvinder ^{[2
]}

机构：

[1] Punjabi Univ, Dept Basic & Appl Sci, Patiala, Punjab, India

[2] Kurukshetra Univ, Kurukshetra, Haryana, India

来源：

ARCHIVE OF APPLIED MECHANICS | 2021年 / 91卷 / 04期

关键词：

Transversely Isotropic; Nano-beam; Lateral deflection; Thermoelastic damping; Two temperature; Thermal moment; Frequency shift; 74Axx; 74Kxx; VIBRATIONS; WAVES; HEAT; BOUNDARY; GREEN; LASER; MODEL;

D O I：

10.1007/s00419-020-01848-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this study, a nanoscale beam of transversely isotropic thermoelastic (TIT) medium with two temperature and with Green-Naghdi (GN) III theory of thermoelasticity for free vibrations with simply supported boundaries have been examined. Euler-Bernoulli (EB) beam theory is used to formulate a mathematical model of the nanoscale beam in a closed form. The lateral deflection, frequency shift, thermal moment and thermoelastic damping have been solved. A program in MATLAB software is developed to find the numerical values for different physical quantities. The lateral deflection, frequency shift, thermal moment and thermoelastic damping for the varying two temperature, different modes, frequency of time harmonic sources, thickness of nano-beam, and material medium of nano-beam has been represented graphically and discussed. The results for some particular cases have also been compared to some earlier work done.

引用

页码：1697 / 1711

页数：15

共 21 条

[1] Study of frequency shift and thermoelastic damping in transversely isotropic nano-beam with GN III theory and two temperature
Iqbal Kaur
Parveen Lata
Kulvinder Singh
Archive of Applied Mechanics, 2021, 91 : 1697 - 1711
[2] Effect of memory dependent derivative on forced transverse vibrations in transversely isotropic thermoelastic cantilever nano-Beam with two temperature
Kaur, Iqbal
Lata, Parveen
Singh, Kulvinder
APPLIED MATHEMATICAL MODELLING, 2020, 88 (88) : 83 - 105
[3] Study of transversely isotropic nonlocal thermoelastic thin nano-beam resonators with multi-dual-phase-lag theory
Iqbal Kaur
Parveen Lata
Kulvinder Singh
Archive of Applied Mechanics, 2021, 91 : 317 - 341
[4] Study of transversely isotropic nonlocal thermoelastic thin nano-beam resonators with multi-dual-phase-lag theory
Kaur, Iqbal
Lata, Parveen
Singh, Kulvinder
ARCHIVE OF APPLIED MECHANICS, 2021, 91 (01) : 317 - 341
[5] Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III
Iqbal Kaur
Kulvinder Singh
Archive of Applied Mechanics, 2021, 91 : 2143 - 2157
[6] Exact Solution of Thermoelastic Damping and Frequency Shifts in a Nano-Beam Resonator
Abbas, Ibrahim A.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2015, 15 (06)
[7] Modeling of thermoelastic damping and frequency shift of vibrations in a transversely isotropic solid cylinder
Sharma, J. N.
Singh, H.
Sharma, Y. D.
MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES, 2011, 7 (03) : 245 - 265
[8] Thermoelastic damping in a thin circular transversely isotropic Kirchhoff-Love plate due to GN theory of type III
Kaur, Iqbal
Singh, Kulvinder
ARCHIVE OF APPLIED MECHANICS, 2021, 91 (05) : 2143 - 2157
[9] The reference temperature dependence of Young’s modulus of two-temperature thermoelastic damping of gold nano-beam
Hamdy M. Youssef
Alaa A. El-Bary
Mechanics of Time-Dependent Materials, 2018, 22 : 435 - 445
[10] Transversely isotropic thick plate with two temperature & GN type-III in frequency domain
Lata, Parveen
Kaur, Iqbal
COUPLED SYSTEMS MECHANICS, 2019, 8 (01): : 55 - 70

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